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Jun 30, 2018
06/18

by
Roland Albrecht; Alexander Bommer; Christoph Pauly; Frank Mücklich; Andreas W. Schell; Philip Engel; Tim Schröder; Oliver Benson; Jakob Reichel; Christoph Becher

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We report the realization of a device based on a single Nitrogen-vacancy (NV) center in diamond coupled to a fiber-cavity for use as single photon source (SPS). The device consists of two concave mirrors each directly fabricated on the facets of two optical fibers and a preselected nanodiamond containing a single NV center deposited onto one of these mirrors. Both, cavity in- and output are directly fiber-coupled and the emission wavelength is easily tunable by variation of the separation of...

Topics: Physics, Quantum Physics, Optics

Source: http://arxiv.org/abs/1407.5825

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Jun 30, 2018
06/18

by
Andrea Benassi; Johannes Schwenk; Miguel A. Marioni; Hans J. Hug; Daniele Passerone

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Actuation and control of motion in micro-mechanical systems are technological challenges, since they are accompanied by mechanical friction and wear, principal and well known sources of device lifetime reduction. In this theoretical work we propose a non-contact motion control technique based on the introduction of a tunable magnetic interaction. The latter is realized by coating two non-touching sliding bodies with ferromagnetic films. The resulting dynamics is determined by shape, size and...

Topics: Mesoscale and Nanoscale Physics, Materials Science, Condensed Matter

Source: http://arxiv.org/abs/1407.6058

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0.0

Jun 30, 2018
06/18

by
Luca Casagrande; Don A. VandenBerg

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After a pedagogical introduction to the main concepts of synthetic photometry, colours and bolometric corrections in the Johnson-Cousins, 2MASS, and HST-ACS/WFC3 photometric systems are generated from MARCS synthetic fluxes for various [Fe/H] and [alpha/Fe] combinations, and virtually any value of reddening E(B-V) < 0.7. The successes and failures of model fluxes in reproducing the observed magnitudes are highlighted. Overall, extant synthetic fluxes predict quite realistic broad-band...

Topics: Astrophysics of Galaxies, Astrophysics, Solar and Stellar Astrophysics

Source: http://arxiv.org/abs/1407.6095

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0.0

Jun 30, 2018
06/18

by
Kevin MacDermid; Asad M. Aboobaker; Peter Ade; Francois Aubin; Carlo Baccigalupi; Kevin Bandura; Chaoyun Bao; Julian Borrill; Daniel Chapman; Joy Didier; Matt Dobbs; Julien Grain; Will Grainger; Shaul Hanany; Kyle Helson; Seth Hillbrand; Gene Hilton; Hannes Hubmayr; Kent Irwin; Bradley Johnson; Andrew Jaffe; Terry Jones; Ted Kisner; Jeff Klein; Andrei Korotkov; Adrian Lee; Lorne Levinson; Michele Limon; Amber Miller; Michael Milligan; Enzo Pascale; Kate Raach; Britt Reichborn-Kjennerud; Carl Reintsema; Ilan Sagiv; Graeme Smecher; Radek Stompor; Matthieu Tristram; Greg Tucker; Ben Westbrook; Kyle Zilic

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EBEX is a balloon-borne telescope designed to measure the polarization of the cosmic microwave background radiation. During its eleven day science flight in the Austral Summer of 2012, it operated 955 spider-web transition edge sensor (TES) bolometers separated into bands at 150, 250 and 410 GHz. This is the first time that an array of TES bolometers has been used on a balloon platform to conduct science observations. Polarization sensitivity was provided by a wire grid and continuously...

Topics: Instrumentation and Methods for Astrophysics, Astrophysics

Source: http://arxiv.org/abs/1407.6894

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Jun 30, 2018
06/18

by
S. A. Sato; Y. Shinohara; T. Otobe; K. Yabana

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We calculate the dielectric response of excited crystalline silicon in electron thermal equilibrium by adiabatic time-dependent density functional theory (TDDFT) to model the response to irradiation by high-intensity laser pulses. The real part of the dielectric function is characterized by the strong negative behavior at low frequencies due to excited electron-hole pairs. The response agrees rather well with the numerical pump-probe calculations which simulate electronic excitations in...

Topics: Physics, Mesoscale and Nanoscale Physics, Materials Science, Optics, Condensed Matter

Source: http://arxiv.org/abs/1407.5763

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Jun 30, 2018
06/18

by
Anthony Lee; Arnaud Doucet; Krzysztof Łatuszyński

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Consider an irreducible, Harris recurrent Markov chain of transition kernel {\Pi} and invariant probability measure {\pi}. If {\Pi} satisfies a minorization condition, then the split chain allows the identification of regeneration times which may be exploited to obtain perfect samples from {\pi}. Unfortunately, many transition kernels associated with complex Markov chain Monte Carlo algorithms are analytically intractable, so establishing a minorization condition and simulating the split chain...

Topics: Computation, Statistics

Source: http://arxiv.org/abs/1407.5770

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Jun 30, 2018
06/18

by
Kwankyu Lee

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The interpolation-based decoding that was developed for general evaluation AG codes is shown to be equally applicable to general differential AG codes. A performance analysis of the decoding algorithm, which is parallel to that of its companion algorithm, is reported. In particular, the decoding capacities of evaluation AG codes and differential AG codes are seen to be nicely interrelated. As an interesting special case, a decoding algorithm for classical Goppa codes is presented.

Topics: Mathematics, Computing Research Repository, Information Theory

Source: http://arxiv.org/abs/1407.5773

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Jun 30, 2018
06/18

by
Athanase Papadopoulos

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This paper has three parts. The first part is a general introduction to rigidity and to rigid actions of mapping class group actions on various spaces. In the second part, we describe in detail four rigidity results that concern actions of mapping class groups on spaces of foliations and of laminations, namely, Thurston's sphere of projective foliations equipped with its projective piecewise-linear structure, the space of unmeasured foliations equipped with the quotient topology, the reduced...

Topics: Mathematics, Geometric Topology

Source: http://arxiv.org/abs/1407.5755

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Jun 30, 2018
06/18

by
Truyen Tran; Trung Thanh Nguyen; Hoang Linh Nguyen

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This paper studies a class of enhanced diffusion processes in which random walkers perform L\'evy flights and apply it for global optimization. L\'evy flights offer controlled balance between exploitation and exploration. We develop four optimization algorithms based on such properties. We compare new algorithms with the well-known Simulated Annealing on hard test functions and the results are very promising.

Topics: Neural and Evolutionary Computing, Computing Research Repository

Source: http://arxiv.org/abs/1407.5739

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Jun 30, 2018
06/18

by
Thomas Cass; Martin Clark; Dan Crisan

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The problem of nonlinear filtering has engendered a surprising number of mathematical techniques for its treatment. A notable example is the change-of--probability-measure method originally introduced by Kallianpur and Striebel to derive the filtering equations and the Bayes-like formula that bears their names. More recent work, however, has generally preferred other methods. In this paper, we reconsider the change-of-measure approach to the derivation of the filtering equations and show that...

Topics: Probability, Mathematics

Source: http://arxiv.org/abs/1407.6043

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Jun 30, 2018
06/18

by
Ila Fiete; David J. Schwab; Ngoc M. Tran

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A Hopfield network is an auto-associative, distributive model of neural memory storage and retrieval. A form of error-correcting code, the Hopfield network can learn a set of patterns as stable points of the network dynamic, and retrieve them from noisy inputs -- thus Hopfield networks are their own decoders. Unlike in coding theory, where the information rate of a good code (in the Shannon sense) is finite but the cost of decoding does not play a role in the rate, the information rate of...

Topics: Dynamical Systems, Mathematics, Quantitative Biology, Neurons and Cognition

Source: http://arxiv.org/abs/1407.6029

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0.0

Jun 30, 2018
06/18

by
Andrei Tokovinin

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To improve the statistics of hierarchical multiplicity, secondary components of wide nearby binaries with solar-type primaries were surveyed at the SOAR telescope for evaluating the frequency of subsystems. Images of 17 faint secondaries were obtained with the SOAR Adaptive Module that improved the seeing; one new 0.2" binary was detected. For all targets, photometry in the g', i', z' bands is given. Another 46 secondaries were observed by speckle interferometry, resolving 7 close...

Topics: Astrophysics, Solar and Stellar Astrophysics

Source: http://arxiv.org/abs/1407.6045

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0.0

Jun 30, 2018
06/18

by
Takashi Tsuji; Tadashi Nakajima

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Based on the near infrared spectra of 42 M dwarfs, carbon abundances are determined from the ro-vibrational lines of CO 2-0 band. We use Teff values based on the angular diameters if available or apply a logTeff - M3.4 (the absolute magnitude at 3.4 micron based on the WISE W1 flux and the Hipparcos parallax) relation to estimate Teff values of objects for which angular diameters are unknown. Also, we discuss briefly the HR diagram of low mass stars. On the observed spectrum of M dwarf, the...

Topics: Astrophysics, Solar and Stellar Astrophysics

Source: http://arxiv.org/abs/1407.5829

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1.0

Jun 30, 2018
06/18

by
Alex Citkin

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The Jankov (characteristic) formulas were introduced by V.Jankov fifty tears ago in 1963. Nowadays the Jankov (or frame) formulas are used in virtually every branch of propositional logic: intermediate, modal, fuzzy, relevant, many-valued, etc. All these different logics have one thing in common: in one form or the other, they admit the deduction theorem. From a standpoint of algebraic logic it means that their corresponding varieties have a ternary deductive (TD) term. It is natural to extend...

Topics: Mathematics, Logic

Source: http://arxiv.org/abs/1407.5823

1
1.0

Jun 30, 2018
06/18

by
Peter G. M. Forbes; Steffen Lauritzen; Jesper Møller

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We present a framework for fingerprint matching based on marked point process models. An efficient Monte Carlo algorithm is developed to calculate the marginal likelihood ratio for the hypothesis that two observed prints originate from the same finger against the hypothesis that they originate from different fingers. Our model achieves good performance on an NIST-FBI fingerprint database of 258 matched fingerprint pairs.

Topics: Applications, Statistics, Methodology

Source: http://arxiv.org/abs/1407.5809

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0.0

Jun 30, 2018
06/18

by
Sorin G Gal

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The main aim of this paper is to show that the nonlinear Choquet integral can be used to construct nonlinear approximation operators, exactly as by the use in probability of the Lebesgue-type integral, linear and positive approximation operators are constructed. The so-called Feller constructive scheme is generalized, by introducing discrete and non-discrete nonlinear approximation operators in terms of the nonlinear Choquet integral with respect to a monotone and subadditive set function. As...

Topics: Mathematics, Classical Analysis and ODEs

Source: http://arxiv.org/abs/1407.5780

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0.0

Jun 30, 2018
06/18

by
Asan Damanik

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Nonzero of mixing angle $\theta_{13}$ has some phenomenological consequences on neutrino physics beyond the standard model. If the mixing angle $\theta_{13}\neq 0$, then there is the possibility of the CP violation existence on the neutrino sector. To obtain a nonzero of mixing angle $\theta_{13}$ from neutrino mass matrix obey $\mu-\tau$, we break it by introducing one small parameter $x$ into neutrino mass matrix and then calculated the Jarlskog invariant as a measure of CP violation...

Topic: High Energy Physics - Phenomenology

Source: http://arxiv.org/abs/1407.5814

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1.0

Jun 30, 2018
06/18

by
Rong-Ying Pan; Jing Yan; Xiao-Dong Zhang

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In this paper, we investigate some relations between the invariants (including vertex and edge connectivity and forwarding indices) of a graph and its Laplacian eigenvalues. In addition, we present a sufficient condition for the existence of Hamiltonicity in a graph involving its Laplacian eigenvalues.

Topics: Mathematics, Combinatorics

Source: http://arxiv.org/abs/1407.5818

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Jun 30, 2018
06/18

by
Dai Aoki; Georg Knebel; Jacques Flouquet

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The field-reentrant (field-reinforced) superconductivity on ferromagnetic superconductors is one of the most interesting topics in unconventional superconductivity. The enhancement of effective mass and the induced ferromagnetic fluctuations play key roles for reentrant superconductivity. However, the associated change of the Fermi surface, which is often observed at (pseudo-) metamagnetic transition, can also be a key ingredient. In order to study the Fermi surface instability, we performed...

Topics: Superconductivity, Strongly Correlated Electrons, Condensed Matter

Source: http://arxiv.org/abs/1407.5799

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1.0

Jun 30, 2018
06/18

by
Ze-Yi Song; Hunpyo Lee; Yu-Zhong Zhang

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By applying dynamical mean-field theory in combination with exact diagonalization at zero temperature to a half-filled Hubbard model with two orbitals having distinct noninteracting densities of states, we show that an orbital selective Mott transition (OSMT) will take place even without crystal field splitting, differences in bandwidth and orbital degeneracy. We find that formation of local spin triplet states followed by a two-stage breakdown of the Kondo effect, rather than decoupling of...

Topics: Strongly Correlated Electrons, Condensed Matter

Source: http://arxiv.org/abs/1407.5795

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0.0

Jun 30, 2018
06/18

by
M. Einenkel; H. Meier; C. Pépin; K. B. Efetov

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We theoretically investigate the vortex state of the cuprate high-temperature superconductors in the presence of magnetic fields. Assuming the recently derived nonlinear $\sigma$-model for fluctuations in the pseudogap phase, we find that the vortex cores consist of two crossed regions of elliptic shape, in which a static charge order emerges. Charge density wave order manifests itself as satellites to the ordinary Bragg peaks directed along the axes of the reciprocal copper lattice. Quadrupole...

Topics: Superconductivity, Condensed Matter

Source: http://arxiv.org/abs/1407.5794

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0.0

Jun 30, 2018
06/18

by
F. A. Bais; S. M. Haaker

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In 2D topological systems chiral edges may exhibit a spectral change due to the formation of a Bose condensate and partial confinement in the bulk according to the topological symmetry breaking (TSB) mechanism. We analyze in detail what happens in the bulk as well as on the edge for a set of simple chiral fractional quantum Hall systems. TSB corresponds to the spontaneous breaking of a global discrete symmetry and therefore to the appearance of domain walls in the bulk and kinks on the edge....

Topics: Strongly Correlated Electrons, Condensed Matter

Source: http://arxiv.org/abs/1407.5790

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3.0

Jun 30, 2018
06/18

by
Anne Boucon; Bertrand Hardy-Baranski; Fabien Bretenaker

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We demonstrate a compact continuous-wave single-frequency doubly-resonant optical parametric oscillator (DRO) in a double-pass pump configuration with a control of the relative phase between the reflected waves. The nested DRO cavity allows single longitudinal mode operation together with low threshold and high efficiency. Thermal effects are managed by chopping the pump beam, allowing continuous tuning of the emitted wavelength. The infrared idler wave (3200-3800 nm) can be used for gas...

Topics: Physics, Optics

Source: http://arxiv.org/abs/1407.5867

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0.0

Jun 30, 2018
06/18

by
Danijel Krizmanic

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Various functional limit theorems for partial sum processes of strictly stationary sequences of regularly varying random variables in the space of cadlag functions $D[0,1]$ with one of the Skorohod topologies have already been obtained. The mostly used Skorohod $J_{1}$ topology is inappropriate when clustering of large values of the partial sum processes occurs. When all extremes within each cluster of high-threshold excesses do not have the same sign, Skorohod $M_{1}$ topology also becomes...

Topics: Probability, Mathematics

Source: http://arxiv.org/abs/1407.5866

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0.0

Jun 30, 2018
06/18

by
Li-meng Xia; Naihong Hu

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In present work, we find a class of Lie algebras, which are defined from the symmetrizable generalized intersection matrices. However, such algebras are different from generalized intersection matrix algebras and intersection matrix algebras. Moreover, such Lie algebras generated by semi-positive definite matrices can be classified by the modified Dynkin diagrams.

Topics: Quantum Algebra, Mathematics

Source: http://arxiv.org/abs/1407.5831

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3.0

Jun 30, 2018
06/18

by
M. Andersen; W-F. Thi; J. Steinacker; N. Tothill

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Context: Observations of scattered light in the 1-5 $\mu$m range have revealed dust grains in molecular cores with sizes larger than commonly inferred for the diffuse interstellar medium. It is currently unclear whether these grains are grown within the molecular cores or are an ubiquitous component of the interstellar medium. Aims: We investigate whether the large grains necessary for efficient scattering at 1-5 mum are associated with the abundance of water-ice within molecular clouds and...

Topics: Astrophysics of Galaxies, Astrophysics

Source: http://arxiv.org/abs/1407.5836

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0.0

Jun 30, 2018
06/18

by
Alet Roux; Tomasz Zastawniak

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A method for pricing and superhedging European options under proportional transaction costs based on linear vector optimisation and geometric duality developed by Lohne & Rudloff (2014) is compared to a special case of the algorithms for American type derivatives due to Roux & Zastawniak (2014). An equivalence between these two approaches is established by means of a general result linking the support function of the upper image of a linear vector optimisation problem with the lower...

Topics: Mathematics, Quantitative Finance, Probability, Pricing of Securities, Optimization and Control

Source: http://arxiv.org/abs/1407.5877

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0.0

Jun 30, 2018
06/18

by
Marianne Clausel; François Roueff; Murad Taqqu

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Consider a non--linear function $G(X_t)$ where $X_t$ is a stationary Gaussian sequence with long--range dependence. The usual reduction principle states that the partial sums of $G(X_t)$ behave asymptotically like the partial sums of the first term in the expansion of $G$ in Hermite polynomials. In the context of the wavelet estimation of the long--range dependence parameter, one replaces the partial sums of $G(X_t)$ by the wavelet scalogram, namely the partial sum of squares of the wavelet...

Topics: Probability, Mathematics

Source: http://arxiv.org/abs/1407.5871

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2.0

Jun 30, 2018
06/18

by
Yuval Kochman; Ligong Wang; Gregory W. Wornell

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This work considers the distribution of a secret key over an optical (bosonic) channel in the regime of high photon efficiency, i.e., when the number of secret key bits generated per detected photon is high. While in principle the photon efficiency is unbounded, there is an inherent tradeoff between this efficiency and the key generation rate (with respect to the channel bandwidth). We derive asymptotic expressions for the optimal generation rates in the photon-efficient limit, and propose...

Topics: Quantum Physics, Mathematics, Computing Research Repository, Information Theory

Source: http://arxiv.org/abs/1407.5883

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0.0

Jun 30, 2018
06/18

by
Maxim Lyutikov

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We advance a "Solar flare" model of magnetar activity, whereas a slow evolution of the magnetic field in the upper crust, driven by electron MHD (EMHD) flows, twists the external magnetic flux tubes, producing persistent emission, bursts and flares. At the same time the neutron star crust plastically relieves the imposed magnetic field stress, limiting the strain $ \epsilon_t $ to values well below the critical strain $ \epsilon_{crit}$ of a brittle fracture, $ \epsilon_t \sim...

Topics: High Energy Astrophysical Phenomena, Astrophysics

Source: http://arxiv.org/abs/1407.5881

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0.0

Jun 30, 2018
06/18

by
J. S. Dowker

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The boundary free energy, as defined by Gaiotto, is further analysed for free scalars on a hemisphere and shown to be the same as the N-D determinant that earlier occurred in a treatment of GJMS operators. It is also shown to be identical, up to spin degeneracy, to the free energy for a spin-half field on the hemisphere boundary. This is also true if the hemisphere is replaced by a lune. The calculations are carried out in arbitrary dimensions.

Topic: High Energy Physics - Theory

Source: http://arxiv.org/abs/1407.5909

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0.0

Jun 30, 2018
06/18

by
Naichung Conan Leung; Changzheng Li

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We describe recent progress on QH(G/P) with special emphasis of our own work.

Topics: Mathematics, Combinatorics, Algebraic Topology, Algebraic Geometry

Source: http://arxiv.org/abs/1407.5905

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0.0

Jun 30, 2018
06/18

by
M. Jura; B. Klein; S. Xu; E. D. Young

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Relative to calcium, both strontium and barium are markedly enriched in Earth's continental crust compared to the basaltic crusts of other differentiated rocky bodies within the solar system. Here, we both re-examine available archived Keck spectra to place upper bounds on n(Ba)/n(Ca) and revisit published results for n(Sr)/n(Ca) in two white dwarfs that have accreted rocky planetesimals. We find that at most only a small fraction of the pollution is from crustal material that has experienced...

Topics: Earth and Planetary Astrophysics, Astrophysics

Source: http://arxiv.org/abs/1407.5923

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0.0

Jun 30, 2018
06/18

by
Diego Casadei

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The objective Bayesian treatment of a model representing two independent Poisson processes, labelled as "signal" and "background" and both contributing additively to the total number of counted events, is considered. It is shown that the reference prior for the parameter of interest (the signal intensity) can be well approximated by the widely (ab)used flat prior only when the expected background is very high. On the other hand, a very simple approximation (the limiting form...

Topics: Physics, Data Analysis, Statistics and Probability

Source: http://arxiv.org/abs/1407.5893

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0.0

Jun 30, 2018
06/18

by
Sylvain Schmitz

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`What more than its truth do we know if we have a proof of a theorem in a given formal system?' We examine Kreisel's question in the particular context of program termination proofs, with an eye to deriving complexity bounds on program running times. Our main tool for this are length function theorems, which provide complexity bounds on the use of well quasi orders. We illustrate how to prove such theorems in the simple yet until now untreated case of ordinals. We show how to apply this new...

Topics: Logic in Computer Science, Computing Research Repository

Source: http://arxiv.org/abs/1407.5896

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0.0

Jun 30, 2018
06/18

by
Paola Flocchini; Giuseppe Prencipe; Nicola Santoro; Giovanni Viglietta

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Consider a set of $n$ simple autonomous mobile robots (asynchronous, no common coordinate system, no identities, no central coordination, no direct communication, no memory of the past, non-rigid, deterministic) initially in distinct locations, moving freely in the plane and able to sense the positions of the other robots. We study the primitive task of the robots arranging themselves on the vertices of a regular $n$-gon not fixed in advance (Uniform Circle Formation). In the literature, the...

Topics: Distributed, Parallel, and Cluster Computing, Multiagent Systems, Computing Research Repository,...

Source: http://arxiv.org/abs/1407.5917

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0.0

Jun 30, 2018
06/18

by
Jiri Lebl

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Let $H \subset {\mathbb P}^n$ be a real-analytic subvariety of codimension one induced by a real-analytic curve in the Grassmannian $G(n+1,n)$. Assuming $H$ has a global defining function, we prove $H$ is Levi-flat, the closure of its smooth points of top dimension is a union of complex hyperplanes, and its singular set is either of dimension $2n-2$ or dimension $2n-4$. If the singular set is of dimension $2n-4$, then we show the hypersurface is algebraic and the Levi-foliation extends to a...

Topics: Complex Variables, Mathematics, Algebraic Geometry

Source: http://arxiv.org/abs/1407.5913

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0.0

Jun 30, 2018
06/18

by
Kai Wen; Fumihiko Sakata; Zhu-Xia Li; Xi-Zhen Wu; Ying-Xun Zhang; Shan-Gui Zhou

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Applying a macroscopic reduction procedure on the improved quantum molecular dynamics (ImQMD) model, the energy dependences of the nucleus-nucleus potential, the friction parameter, and the random force characterizing a one-dimensional Langevin-type description of the heavy-ion fusion process are investigated. Systematic calculations with the ImQMD model show that the fluctuation-dissipation relation found in the symmetric head-on fusion reactions at energies just above the Coulomb barrier...

Topics: Nuclear Experiment, Nuclear Theory

Source: http://arxiv.org/abs/1407.5912

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0.0

Jun 30, 2018
06/18

by
Dan Levy; Martino Garonzi

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For every non-nilpotent finite group $G$, there exists at least one proper subgroup $M$ such that $G$ is the setwise product of a finite number of conjugates of $M$. We define $\gamma_{\text{cp}}\left( G\right) $ to be the smallest number $k$ such that $G$ is a product, in some order, of $k$ pairwise conjugated proper subgroups of $G$. We prove that if $G$ is non-solvable then $\gamma_{\text{cp}}\left( G\right) \leq36$ while if $G$ is solvable then $\gamma_{\text{cp}}\left( G\right) $ can...

Topics: Mathematics, Group Theory

Source: http://arxiv.org/abs/1407.5937

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0.0

Jun 30, 2018
06/18

by
Steven Thomas Smith

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The techniques and analysis presented in this paper provide new methods to solve optimization problems posed on Riemannian manifolds. A new point of view is offered for the solution of constrained optimization problems. Some classical optimization techniques on Euclidean space are generalized to Riemannian manifolds. Several algorithms are presented and their convergence properties are analyzed employing the Riemannian structure of the manifold. Specifically, two apparently new algorithms,...

Topics: Dynamical Systems, Differential Geometry, Mathematics, Computing Research Repository, Numerical...

Source: http://arxiv.org/abs/1407.5965

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0.0

Jun 30, 2018
06/18

by
Andreas Enge; Jérôme Milan

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This study reports on an implementation of cryptographic pairings in a general purpose computer algebra system. For security levels equivalent to the different AES flavours, we exhibit suitable curves in parametric families and show that optimal ate and twisted ate pairings exist and can be efficiently evaluated. We provide a correct description of Miller's algorithm for signed binary expansions such as the NAF and extend a recent variant due to Boxall et al. to addition-subtraction chains. We...

Topics: Cryptography and Security, Mathematics, Mathematical Software, Number Theory, Computing Research...

Source: http://arxiv.org/abs/1407.5953

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Jun 30, 2018
06/18

by
Martin Lysy; Natesh S. Pillai; David B. Hill; M. Gregory Forest; John Mellnik; Paula Vasquez; Scott A. McKinley

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State-of-the-art techniques in passive particle-tracking microscopy provide high-resolution path trajectories of diverse foreign particles in biological fluids. For particles on the order of 1 micron diameter, these paths are generally inconsistent with simple Brownian motion. Yet, despite an abundance of data confirming these findings and their wide-ranging scientific implications, stochastic modeling of the complex particle motion has received comparatively little attention. Even among...

Topics: Applications, Statistics

Source: http://arxiv.org/abs/1407.5962

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Jun 30, 2018
06/18

by
Christophe Chatelain

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The two Berezinskii-Kosterlitz-Thouless phase transitions of the two-dimensional 5-state clock model are studied on infinite strips using the DMRG algorithm. Because of the open boundary conditions, the helicity modulus $\Upsilon_2$ is computed by imposing twisted magnetic fields at the two boundaries. Its scaling behavior is in good agreement with the existence of essential singularities with $\sigma=1/2$ at the two transitions. The predicted universal values of $\Upsilon_2$ are shown to be...

Topics: Statistical Mechanics, Condensed Matter

Source: http://arxiv.org/abs/1407.5955

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Jun 30, 2018
06/18

by
Chao-Chin Yang; Anders Johansen

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The streaming instability is a promising mechanism to overcome the barriers in direct dust growth and lead to the formation of planetesimals. Most previous studies of the streaming instability, however, were focused on a local region of a protoplanetary disk with a limited simulation domain such that only one filamentary concentration of solids has been observed. The characteristic separation between filaments is therefore not known. To address this, we conduct the largest-scale simulations of...

Topics: Earth and Planetary Astrophysics, Astrophysics

Source: http://arxiv.org/abs/1407.5995

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Jun 30, 2018
06/18

by
Amir H. Rezaeian

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The Impact-Parameter dependent Color Glass Condensate (b-CGC) and Saturation (IP-Sat) dipole models incorporate key features of small-x physics properties and match smoothly to the perturbative QCD regime at large $Q^2$ for a given $x$. Although both models include saturation effects and depend on impact-parameter, the former is based on the non-linear BK equation, while the latter is based on DGLAP evolution. After confronting the models to the recently released high precision combined HERA...

Topics: High Energy Physics - Phenomenology, Nuclear Theory

Source: http://arxiv.org/abs/1407.5956

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Jun 30, 2018
06/18

by
J. Liu; C. Hennig; S. Desai; B. Hoyle; J. Koppenhoefer; J. J. Mohr; K. Paech; W. S. Burgett; K. C. Chambers; S. Cole; P. W. Draper; N. Kaiser; N. Metcalfe; J. S. Morgan; P. A. Price; C. W. Stubbs; J. L. Tonry; R. J. Wainscoat; C. Waters

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We report results of a study of Planck Sunyaev-Zel'dovich effect (SZE) selected galaxy cluster candidates using the Panoramic Survey Telescope & Rapid Response System (Pan-STARRS) imaging data. We first examine 150 Planck confirmed galaxy clusters with spectroscopic redshifts to test our algorithm for identifying optical counterparts and measuring their redshifts; our redshifts have a typical accuracy of $\sigma_{z/(1+z)} \sim 0.022$ for this sample. Using 60 random sky locations, we...

Topics: Astrophysics, Cosmology and Nongalactic Astrophysics

Source: http://arxiv.org/abs/1407.6001

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Jun 30, 2018
06/18

by
Colin T. Slater; Eric F. Bell

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We combine observations of the Local Group with data from the NASA-Sloan Atlas to show the variation in the quenched fraction of satellite galaxies from low mass dwarf spheroidals and dwarf irregulars to more massive dwarfs similar to the Magellanic clouds. While almost all of the low mass ($M_\star \lesssim 10^7$ $M_\odot$) dwarfs are quenched, at higher masses the quenched fraction decreases to approximately 40-50%. This change in the quenched fraction is large, and suggests a sudden change...

Topics: Astrophysics of Galaxies, Astrophysics

Source: http://arxiv.org/abs/1407.6006

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Jun 30, 2018
06/18

by
S. Jahari; S. Alikhani

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Let $G$ be a simple graph of order $n$. The domination polynomial of $G$ is the polynomial $D(G, x)=\sum_{i=\gamma(G)}^{n} d(G,i) x^{i}$, where $d(G,i)$ is the number of dominating sets of $G$ of size $i$ and $\gamma(G)$ is the domination number of $G$. In this paper we study the domination polynomials of several classes of $k$-tree related graphs. Also, we present families of these kind of graphs, whose domination polynomial have no nonzero real roots.

Topics: Mathematics, Combinatorics

Source: http://arxiv.org/abs/1407.5959

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Jun 30, 2018
06/18

by
Lazhar Fekih-Ahmed

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Using the reflection formula of the Gamma function, we derive a new formula for the Taylor coefficients of the reciprocal Gamma function. The new formula provides effective asymptotic values for the coefficients even for very small values of the indices. Both the sign oscillations and the leading order of growth are given.

Topics: Mathematics, Number Theory

Source: http://arxiv.org/abs/1407.5983

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Jun 30, 2018
06/18

by
James Healy; Pablo Laguna; Deirdre Shoemaker

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We demonstrate that in binary black hole mergers there is a direct correlation between the frequency of the gravitational wave at peak amplitude and the mass and spin of the final black hole. This correlation could potentially assist with the analysis of gravitational wave observations from binary black hole mergers.

Topics: High Energy Astrophysical Phenomena, Astrophysics, General Relativity and Quantum Cosmology,...

Source: http://arxiv.org/abs/1407.5989